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Problem #1 Part I (50 points) Consider the following one-line diagram of a three-phase power system. Assume that the system has the following base quantities: S3 100 MVA, and VbaselL 38 kV at the...
PROBLEM: A 230-kV, 50 Hz, three-phase transmission line is 120 km long. The line has a per phase ...
PROBLEM: A 230-kV, 50 Hz, three-phase transmission line is 120 km long. The line has a per phase series impedance of z-0.05 +j0.45 Ω per km, and a per phase shunt admittance of y 3.4x10-6 Siemens per km. The line delivers (at the receiving end) 200 MVA, 0.8 lagging power factor at 220 kV. Now consider two cases: A- Assume that shunt parameters of the transmission line are ignored (i.e. even if this is a medium length transmission line, under...
The ratings of the components shown in the one-line diagram are G1: 25 MVA, 13.8 kV, x-0.15 pu G2:15MVA, 13 kV, x = 0.1 5 pu. TI : 25 MVA, 13.2/69 kV, x-0. I 1 pu T2: 25 MVA, 69/13.2 kV,x-0.220 pu Tr...
The ratings of the components shown in the one-line diagram are G1: 25 MVA, 13.8 kV, x-0.15 pu G2:15MVA, 13 kV, x = 0.1 5 pu. TI : 25 MVA, 13.2/69 kV, x-0. I 1 pu T2: 25 MVA, 69/13.2 kV,x-0.220 pu Transmission line: j65 ohms/pha bus 2 BE 165Ω ISMVA e ratings of generator 1 as base valu 25MVA 13.8 kV 1 5% 69113.2 kV13kV 1 1% 13.2169k 1 1% 1- Draw the reactance diagram. 2- Find the Y-bus...
note that 1) single phase system 2) base values at transmission line circuit A 100 MVA,...
note that
1) single phase system
2) base values at transmission line circuit
A 100 MVA, 12 kV Single-phase generator has a sub transient reactance of 20%. The generator supplies a two synchronous motors over 25-km transmission line having transformers at both ends. The motors, all rated 6.0 kV, 66 MVA and 50 MVA for Mi and M2, respectively. For both motors X" = 15%. The single phase transformer T is rated 150 MVA, 132/12 kV with leakage reactance of...
A 230-kV, three-phase transmission line has a per phase series impedance of z = 0.05j0.45 2...
A 230-kV, three-phase transmission line has a per phase series impedance of z = 0.05j0.45 2 per km and a per phase shunt admittance ofy = j3.4 x 10-6 siemens per km. The line is 80 km long. Using the nominal r model, determine (a) The transmission line ABCD constants. Find the sending end voltage and current, voltage regulation, the sending end power and the transmission efficiency when the line delivers (b) 200 MVA, 0.8 lagging power factor at 220...
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 2...
Please show all the clearly step
Y11 ist j30 and Y44 isnt -j12.85
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV, X-20%, X, = 5% 50 MVA, 20 kV Δ /110 kV Ý, X= 1090 50 MVA, 20 kV MI 10 kV Ý, X= 10% Xi-24.2 Ω Generator G: Motor M: Transformer T1 : Transformer T2 : Transmission line: 3 4 T2 nu)M Fig....
Solve the following problem in per unit using a base of 100 MVA, 230 kV 2...
Solve the following problem in per unit using a base of 100 MVA, 230 kV 2 (three phase) in the transmission line. The following figure shows the a portion of a large power system. The three phase load is300 (MW)+j30 (MVAR) at 220 kV (Line-Line rms). Using the data provided, determine the complex power supply (Three phase). The generating station is connected to the load by a three-phase transmission line. The transmission line model (per phase) is shown in the...
3.13 A single-line diagram of a three-phase power system is shown in Fig. 3.51. The ratings...
3.13 A single-line diagram of a three-phase power system is shown in Fig. 3.51. The ratings of the equipment are shown below Generator G: 100 MVA, 11 kV, Xi -X2-0.20 pu, Xo -0.05 pu Generator G2 : 100 MVA, 20 kV, Xi=X2=0.25 pu, Xo=0.03 pu, X,,-0.05 pu Transformer T: 100 MVA, 11/66 kV, Xi -X2-Xo 0.06 pu Transformer T2: 100 MVA, 11/66 kV, Xi-X2 = Xo 0.06 pu Line: 100 MVA, X,-X2 = 0.15 pu, Xo = 0.65 pu A...
A three-phase overhead transmission line is designed to deliver 100 MVA at 220 kV line voltage...
A three-phase overhead transmission line is designed to deliver 100 MVA at 220 kV line voltage over a distance of 100 km. If the I2R losses need to be kept to max of 3% of the rated line MVA, given the resistivity of the conductor material to be 2.84 x 10-8 W-m, determine the required conductor diameter and the conductor size in circular mils
Homework 24: Use the ALCOA conductor table from Glover, Sarma, Power System Analysis and Design, for this assignment A 12 kV 60 Hz three-phase three-wire overhead line has Drake ACSR conductors space...
Homework 24: Use the ALCOA conductor table from Glover, Sarma, Power System Analysis and Design, for this assignment A 12 kV 60 Hz three-phase three-wire overhead line has Drake ACSR conductors spaced 4 ft apart in an equilateral triangle. It is operating at 50 degrees C. a. Calculate resistance (0.1288 ohms/mile) of one phase of the line b. Calculate series inductance of the line (0.93 uH/m) c. Calculate shunt capacitance of the line. (12.47 pF/m) The line is 20 km...
Consider the single-line diagram of the three-phase power system shown in Figure 1. Component ratings are...
Consider the single-line diagram of the three-phase power system shown in Figure 1. Component ratings are as follows: Generator G1: 750 MVA, 18 kV, X0.2 per unit Generator G2: 750 MVA, 18 kV, X 0.2 per unit Synchronous Motor M: 1,500 MVA, 20 kV, X-20% A-Y Transformers Ti, T2, T's, & T.: 750 MVA, 500 kV Y/20 kV A, X = 10% Y-Y Transformer T's 1,500 MVA, 500 kV Y/20 kV Y, X-10% ne L:X (a) Using bases of 100...
PROBLEM: A 230-kV, 50 Hz, three-phase transmission line is 120 km long. The line has a per phase series impedance of z-0.05 +j0.45 Ω per km, and a per phase shunt admittance of y 3.4x10-6 Siemens per km. The line delivers (at the receiving end) 200 MVA, 0.8 lagging power factor at 220 kV. Now consider two cases: A- Assume that shunt parameters of the transmission line are ignored (i.e. even if this is a medium length transmission line, under...
The ratings of the components shown in the one-line diagram are G1: 25 MVA, 13.8 kV, x-0.15 pu G2:15MVA, 13 kV, x = 0.1 5 pu. TI : 25 MVA, 13.2/69 kV, x-0. I 1 pu T2: 25 MVA, 69/13.2 kV,x-0.220 pu Transmission line: j65 ohms/pha bus 2 BE 165Ω ISMVA e ratings of generator 1 as base valu 25MVA 13.8 kV 1 5% 69113.2 kV13kV 1 1% 13.2169k 1 1% 1- Draw the reactance diagram. 2- Find the Y-bus...
note that
1) single phase system
2) base values at transmission line circuit
A 100 MVA, 12 kV Single-phase generator has a sub transient reactance of 20%. The generator supplies a two synchronous motors over 25-km transmission line having transformers at both ends. The motors, all rated 6.0 kV, 66 MVA and 50 MVA for Mi and M2, respectively. For both motors X" = 15%. The single phase transformer T is rated 150 MVA, 132/12 kV with leakage reactance of...
A 230-kV, three-phase transmission line has a per phase series impedance of z = 0.05j0.45 2 per km and a per phase shunt admittance ofy = j3.4 x 10-6 siemens per km. The line is 80 km long. Using the nominal r model, determine (a) The transmission line ABCD constants. Find the sending end voltage and current, voltage regulation, the sending end power and the transmission efficiency when the line delivers (b) 200 MVA, 0.8 lagging power factor at 220...
Please show all the clearly step
Y11 ist j30 and Y44 isnt -j12.85
Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV, X-20%, X, = 5% 50 MVA, 20 kV Δ /110 kV Ý, X= 1090 50 MVA, 20 kV MI 10 kV Ý, X= 10% Xi-24.2 Ω Generator G: Motor M: Transformer T1 : Transformer T2 : Transmission line: 3 4 T2 nu)M Fig....
Solve the following problem in per unit using a base of 100 MVA, 230 kV 2 (three phase) in the transmission line. The following figure shows the a portion of a large power system. The three phase load is300 (MW)+j30 (MVAR) at 220 kV (Line-Line rms). Using the data provided, determine the complex power supply (Three phase). The generating station is connected to the load by a three-phase transmission line. The transmission line model (per phase) is shown in the...
3.13 A single-line diagram of a three-phase power system is shown in Fig. 3.51. The ratings of the equipment are shown below Generator G: 100 MVA, 11 kV, Xi -X2-0.20 pu, Xo -0.05 pu Generator G2 : 100 MVA, 20 kV, Xi=X2=0.25 pu, Xo=0.03 pu, X,,-0.05 pu Transformer T: 100 MVA, 11/66 kV, Xi -X2-Xo 0.06 pu Transformer T2: 100 MVA, 11/66 kV, Xi-X2 = Xo 0.06 pu Line: 100 MVA, X,-X2 = 0.15 pu, Xo = 0.65 pu A...
A three-phase overhead transmission line is designed to deliver 100 MVA at 220 kV line voltage over a distance of 100 km. If the I2R losses need to be kept to max of 3% of the rated line MVA, given the resistivity of the conductor material to be 2.84 x 10-8 W-m, determine the required conductor diameter and the conductor size in circular mils
Homework 24: Use the ALCOA conductor table from Glover, Sarma, Power System Analysis and Design, for this assignment A 12 kV 60 Hz three-phase three-wire overhead line has Drake ACSR conductors spaced 4 ft apart in an equilateral triangle. It is operating at 50 degrees C. a. Calculate resistance (0.1288 ohms/mile) of one phase of the line b. Calculate series inductance of the line (0.93 uH/m) c. Calculate shunt capacitance of the line. (12.47 pF/m) The line is 20 km...
Consider the single-line diagram of the three-phase power system shown in Figure 1. Component ratings are as follows: Generator G1: 750 MVA, 18 kV, X0.2 per unit Generator G2: 750 MVA, 18 kV, X 0.2 per unit Synchronous Motor M: 1,500 MVA, 20 kV, X-20% A-Y Transformers Ti, T2, T's, & T.: 750 MVA, 500 kV Y/20 kV A, X = 10% Y-Y Transformer T's 1,500 MVA, 500 kV Y/20 kV Y, X-10% ne L:X (a) Using bases of 100...
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